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Finding the Third Proportional to 11,330 and 22,964

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Solution

The third proportional to 11,330 and 22,964 is: 46,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330 : 22,964 = 22,964 : x
  2. Step 2: Convert to fraction form
    11,330/22,964 = 22,964/x
  3. Step 3: Cross multiply
    11,330x = 22,964 × 22,964
  4. Step 4: Simplify right side
    11,330x = 527,345,296
  5. Step 5: Solve for x
    x = 527,345,296/11,330
  6. Step 6: Final answer
    x = 46,544.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.